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Intersecting chords form a pair of supplementary vertical angles?
false
When chords intersect in a circle the vertical angles formed intercept conruent arcs always sometimes never?
Sometimes
If two chords of a given circle are congruent then they must?
be equidistant from the center of the circle. APEX!
Two arcs of a circle are congruent if and only if associated chords are perpendicular?
In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.
Are the corresponding chords of two congruent arcs are equal?
Only if they belong to congruent circles.
Intersecting chords form a pair of congruent are they called vertical angles?
apex= True
Intersecting chords form a pair of supplementary vertical angles?
false
When chords intersect in a circle are the vertical angles formed intercept congruent arcs?
Not unless the chords are both diameters.
Are two chords congruent if and only if the associated central angles are supplementary?
Not true. If the associated central angles are equal, the two chords would be equal.
When chords intersect in a circle the vertical angles formed intercept conruent arcs always sometimes never?
Sometimes
Two arcs of a circle are congruent if and only if associated chords are perpendicular?
In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.
If two chords of a given circle are congruent then they must?
be equidistant from the center of the circle. APEX!
What are two minor arcs that are congruent with corresponding chords?
They are arcs of congruent circles.
Are the corresponding chords of two congruent arcs are equal?
Only if they belong to congruent circles.
If two chords in a circle are congruent then they are?
The same sizes
Prove that if chords of congruent circles subtend equal angles at their centers then the chords are equal?
let the two circles with centre O and P are congruent circles, therefore their radius will be equal. given: AB and CD are the chords of the circles with centres O and P respectively. ∠AOB=∠CPD TPT: AB=CD proof: in the ΔAOB and ΔCPD AO=CP=r and OB=PD=r ∠AOB=∠CPD therefore by SAS congruency, ΔAOB and ΔCPD are congruent triangle. therefore AB=CD
Measure of an angle formed by intersecting chords is half the sum of measures of the intercepted arcs?
true
